Volume of a sphere = (4/3)πr³
📘 Example ①
Find the volume of a sphere with a radius of 3 cm.
Answer: (4/3)×π×3³ = (4/3)×π×27 = 36π cm³
Find the volume of a sphere with a radius of 3 cm.
Answer: (4/3)×π×3³ = (4/3)×π×27 = 36π cm³
📘 Example ②
Find the volume of a sphere with a diameter of 6 cm.
Answer: Radius = 3 cm. Volume = (4/3)×π×27 = 36π cm³
Find the volume of a sphere with a diameter of 6 cm.
Answer: Radius = 3 cm. Volume = (4/3)×π×27 = 36π cm³
💡 Key Point
- Volume of a sphere = (4/3)πr³
- When the diameter is given, convert it to the radius (r = diameter/2)
Practice Problems
- Find the volume of a sphere with a radius of 6 cm (leave π as it is).
Answer and Explanation
- Answer: 288π cm³. (4/3)×π×216=(4×216/3)π=288π.